ML17334B619

Responds to 961202 RAI to Resolve Concerns Re thermo-lag Related Ampacity Derating Issues

ML17334B619
Person / Time
Site:	Cook
Issue date:	03/20/1997
From:	FITZPATRICK E INDIANA MICHIGAN POWER CO. (FORMERLY INDIANA & MICHIG
To:	NRC OFFICE OF INFORMATION RESOURCES MANAGEMENT (IRM)
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ML17333A823	List: ML17333A822 ML17334B619
References
AEP:NRC:0692DL, AEP:NRC:692DL, TAC-M85538, TAC-M85539, NUDOCS 9703260168
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+ZgDZSTRZBUTZONCODE:A029DCOPZESRECEZVED:LTRIENCLISZEE!TITLE:GenericLetter92-008Thermo-Lag330FireBarrierNOTES:CATEGORYj.REGULATINFRMATIONDISTRIBUTIONSTEM(RIDS)ACCESSION,'NBR:9703260168DOC.DATE:97/03/20NOTARIZED:NODOCKETFACIL':50-315DonaldC.CookNuclearPowerPlant,Unit1,IndianaM0500031550-316DonaldC.CookNuclearPowerPlant,Unit2,IndianaM05000316AUTH.NAMEAUTHORAFFILIATIONFITZPATRICK,E.EIndianaMichiganPowerCo.(formerlyIndiana6MichiganEleRECIP.NAMERECIPIENTAFFILIATIONDocumentControlBranch(DocumentControlDesk)

SUBJECT:

Respondsto961202RAItoresolveconcernsrethermo-lagrelatedampacityderatingissues.RECIPIENTIDCODE/NAMEPD3-3LAHICKMAN,JINTER.RELICNRR/DRPW/PD3-1RGN3FILEEXTERNAL:NOACCOPIESLTTRENCL101111111111RECIPIENTIDCODE/NAMEPD3-3PDNRR/DE/EELBNRR/DSSA/SPLBNRCPDRCOPIESLTTRENCL111'1111NOTETOALL"RIDS"RECIPIENTS:PLEASEHELPUSTOREDUCEWASTE!CONTACTTHEDOCUMENTCONTROLDESKIROOMOWFNSD-5(EXT.415-2083)TOELIMINATEYOURNAMEFROMDISTRIBUTIONLISTSFORDOCUMENTSYOUDON'TNEED!TOTALNUMBEROFCOPIESREQUIRED:LTTR10ENCL9 IndianaMichiganPowerCompany500CircleDriveBuchanan,MI491071395INDIANANICIIIGANPQWMMarch20,1997DocketNos~:50-31550-316AEP:NRC:0692DLU.S.NuclearRegulatoryCommissionATTN:DocumentControlDeskWashington,D~C~20555Gentlemen:DonaldC.CookNuclearPlantUnits1and2ADDITIONALINFORMATIONREGARDINGTHERMO-LAGRELATEDAMPACZTYDERATINGISSUES(TACNOS.M85538ANDM85539)INRESPONSETOAREQUESTFORADDITIONALINFORMATION

References:

1.LetterAEP:NRC:0692CV,RAIregardinggenericletter92-08,"Thermo-Lag330-1,FireBarriers",EDE.FitzpatricktoUSNRCDocumentControlDesk,February4,1994.2.LetterAEP:NRC:0692DA,follow-uptoRAZregardinggeneric.letter92-08,",Thermo;Lag330-1FireBarriers",E.E.FitzpatricktoUSNRCDocumentControlDesk,December21,1994'~4~LetterAEP:NRC:0692DD,responsetofollow-uptoRAIregardinggenericletter92-08,"Thermo-Lag330-1FireBarriers",EDEDFitzpatricktoUSNRCDocumentControlDesk,March29,1995'etterAEP:NRC:0692DF,additionalinformationregardingthermo-lagrelatedampacityderatingcalculations,TACnos~M85538andM85539,EDEDFitzpatricktoUSNRCDocumentControlDesk,May12,1995'yyourletterofDecember2,1996,wewererequestedtosupplyadditionalinformationneededtoresolveconcernsregardingtheampacityderatingfactordeterminationsforCookNuclearPlantunits1and2.Theseconcernsareaddressedinthesixattachmentstothisletter.Attachment1providesresponsestoyourrequests'ttachment2providesatablethatdepictsthecorrelationbetweenthepredictedandmeasuredampacities~Attachment3providesthemodelcomputercode.Attachment4providestestreportCL-492,"AmpacityTestforPowerCablesinRandomlyFilledTrays"~Attachment5containscomparisontablesthatprovidebaseinformationregardingtraysandPDR0168S70320Ao<<K0S0003ggPORpLgIIn(OOJOHiHIIIHIIHHHIIHIIH!iH!lHIHlHHIII U.S.NuclearRegulatoryCommissionPage2AEP:NRC:0692DLconduits,cablefullloadamperes,andcomparisonofcalculatedampacitiesvsICEAampacities.Attachment6providesan"AmpacityvsDepthofFillPlotfor812AWGCopperWire".Sincerely,p~E.E.FitzpatrickVicePresidentvlbAttachmentsCCA.A.Blind,A.B.BeachMDEQ-DWEcRDPNRCResidentInspectorJ.R.Padgett ATTACHMENT1TOAEP:NRC:0692DLRESPONSETOREQUESTFORADDITIONALINFORMATIONREGARDING'HERMO-LAGRELATEDAMPACITYDERATINGISSUESFORCOOKNUCLEARPLANT(TACNOS.M85538andM85539)

AEP:NRC:0692DLResonsetoNRCReestforAdditionalInformation1.0BACKGROUNDTheinitialRequestforAdditionalInformation(RAZ)response,AEP:NRC:0692CV,Attachment2,inclu'dedalistofAppendixRsafeshutdowncablescoveredwithThermo-Lag330-1Barriers(Thermo-Lag)atCookNuclearPlant(CNP).Thiscablepopulationwascomprisedofcontrol,instrumentation,andpowercables.Thefocusoftheampacityderatinganalysispresentedinthisresponsehasbenreducedtostrictlypowercables.Controlandinstrumentationcableswouldhavetobederated73-.ormoreinorderfortheirloadingstobeaconcern,thereforetheyare,notconsideredaspartofthisderatinganalysis.Additionally,junctionboxesandtrayjunctionpansarenotconsideredaspartofthisderatinganalysisduetothelargeenclosuresurfaceareasavailableforheatdissipationcomparedtotheracewaysthatcarrythesesamecables.AlsolistedinAEP:NRC:0692CV,Attachment2weresixinstallationswherefourinchconduitisembeddedin=concreteformingaverticalconduitbank.ThisbankisattachedtoawallandtheoutersidesarecoveredwithThermo-Lag.Basedonareview,ofeachcableinthesebanks,includingacomparisonbetweeneachcircuitFullLoadAmperes(FLA)versusmaximumampacityofthecable(perdesignguidelines),aminimummarginof25%wasidentified.WebelievethismarginissufficientforanyderatingduetoinstallationofThermo-Lagontheverticalconduitbanks.Thereforetheseinstallationshavealsobeenexcludedfromthisderatinganalysis.AEP:NRC:0692DLAttachment1Page1of21 iaafThefollowingisalistofracewaysthatcontainthepowercablesthatareconsideredinthisderatinganalysis.ThesepowercablesareidentifiedinAttachment5.AendixRRacewasTraysConduits1-AX-P11-AI-P21-AI-P41-AZ-P81-AZ-P91-A-P202-AZ-P38003R-18004R-18004G-18026R-18505R-18506R-18003R-28004R-28004G-28154G-28155G-28744R-2Non-AendixRTras2-A-P22-AZ-P10"Non-AppendixRTrays"aredefinedasthosepowertrays(containingnon-AppendixRcables)thatarecommonlywrappedwithAppendixRcontroltrays.2.0QUESTIONS2.1Generalmodelingconcerns2.1.1RequestAlthoughthelicenseesubmittedtheresultsofitsanalysisforonecabletrayandseveralconduits,therewasnooverallsummaryprovidedtoassessthefullrangeoffirebarrierconfigurationsinstalledatCNP.Thelicenseeisrequested'oprovideasummaryofallampacityderatingassessmentresultsforallThermo-Lagenclosedracewayconfigurations(e.g.tray,conduit,airdrop)installedatCNP.AEP:NRC:0692DLAttachment1Page2of21

ResponseSummaryampacityderatingassessmentresultsforalltheThermo-LagenclosedracewayconfigurationslistedaboveareprovidedinAttachment5.ThisattachmentliststheampacityderatingofeachcablewithintheseracewaysasthedifferencebetweenFLAandICEAampacitiesasapercentageoftheICEAampacity(0margin).Asaverificationthattheloadedracewaygenerateslessheat(wattsperfoot-w/ft)thanwhatwouldberequiredtor'eachthecablequalificationtemperature,modelledandactualw/ftvaluesarealsolisted.ItisourpositionthatthecableslistedinAttachment5havebeenappropriatelyderatedgiventhelargemarginsandthedifferencesbetweenthepredictedandactualheatvalues.InformationonthedevelopmentofAttachment5isprovidedinsections2.3.2,2.4.7and2.4.8.RequestThelevelofdocumentationprovidedisnotadequatetocompleteafullevaluationofyourampacityassessments.Ingeneral,thereisnodiscussionofhowthetwopartsofthelicenseeanalysismethodologyaremadetoworktogether,theexamplecalculationsdonotprovideenoughinformationtoverifythecalculations,andtheexperimentspurportedtosupportvalidationofthethermalmodelsareeithernotprovided,ornodirectone-to-onecomparisonoftheexperimentstomodelingresultsisprovided.Thelicenseeisrequestedtoprovidefurtherdocumentationintheareasstatedabove.ResponseAdescriptionofhowtheanalysismethodologyworksisprovidedinsection2.3.2.Additionally,Attachment2demonstrateshowtheCNPthermalmodelwasappliedtoarepresentativetrayandconduitfromthe1983AEPCantonTestLabtests.Applyingthethermalmodeltotestedracewaysallowedfordirectone-to-onecomparisonstobemadebetweenpredictedandactualvalues.Theresultsofthecomparisonsdemonstratedthatthereisacorrelationbetweenthepredictedandactualcalculatedheatgenerated(w/ft)forbothtrayandconduit.Detailsofthecomparisonareprovidedbothinsection2.3.2andAttachment2.AEP:NRC:0692DLAttachment1Page3of21' 2.1.3~~IRequestNodiscussionwasprovidedastohowin-plantcableserviceloadsweredetermined,whichcableshavebeenconsideredintheanalysis,andthebasisfortheeliminationofothercablesfromconsideration.Thelicenseeisrequestedtoclarifyhowtheaboveinformationwastreatedinitsanalysis.ResponseIn-plantcableserviceloadsaredeterminedfromthenameplateratingoftheserviceloaditself.Thecablesconsideredintnisderatinganalysisarelisted,bytheirraceway,inAttachment5.The"Background"sectionofthissubmittalcontainsthebasisfortheeliminationofothercablesfromconsideration.2.2Part1Analysis,AppendixAofAttachment42.2.1RecgxestThestaffagreeswithitscontractor,SNL,thattheinformationprovidedtodatedoesnotprovideanadequatebasisforvalidationofitsassumptionthattheoverallheatrejectioncapacityofasparselyloadedcabletraycanbepartitionedtoindividualcablesinproportiontothecablediameter.Thelimitedinformationprovidedbythelicensee(oneplotwithnosupportingdataandnoindicatedunits)isunconvincinggiventhepotentialforminorerrorsinthecalculationcouldleadtolargererrorinthefinalestimationofampacitylimits.Thelicenseehascitedasetofexperimentsasthebasisforthisplot,andhence,forthevalidationofthismethodology(seereferenceofAppendixCinAttachment4).However,thisdocumentationoftheseexperimentswasnotprovidedforstaffreview.ThelicenseeisrequestedtoprovideAppendixCaswellasanyotherdocumentationtosupportthevalidationoftheexperimentscitedinthelicenseeanalysis.AEP:NRC:0692DLAttachment1Page4of21 ResponseAEPtestreportNCL-492isincludedasAttachment4ofthisletter.ThistestreportistheAppendixCidentifiedinAEP:NRC:0692DF,Attachment4.Adetailedphysicaldescriptionofthetestandtestingprotocol.canbefoundinsectionIII"TestMethod"oftheattachedtestreportgCL-492.ThesummaryisincludedinsectionIV"TestResults"aswellasthetestdatasection,AppendixA,oftestreportNCL-492.ThepurposeofthetestwastodeterminetheampacityofpowercablesinrandomlyfilledtraysandshowtherelationofIvs.(d/Rac)/forvarioustrayconfigurations.FigureA-1(AEP:NRC:0692DF,Attachment4)wasplottedusingtheresultsofthreetestedtrayconfigurations.TheYaxisrepresentscurrent,inamperes,forthecablestestedinearthtrayconfiguration.TheXaxisrepresents(d/R>c)I,wheredisdiameterofeachcableandRac~sthea.c.resistance.2.3Part2,Analysis,AppendixBofAttachment42.3.1RequestTheassumptionofequivalentannularregionsappearstogiveinadequatetreatmenttotheimportanceofsurfaceareainheattransfercalculations.Theactualratesofheattransferaredirectlyproportionaltosurfacearea;henceitisimportantthatthethermalmodeluseactualavailablesurfaceareasinitsformulation.Thelicenseeshouldprovideexampleswhichencompassallracewaytypesinstalledtoillustratetheeffectiveheattransferareasassum.dforeachofthelayersinitsmodelingandcomparethoseassumedareastotheactualheattransferareasavailableinthephysicalsystem.ResponseAllracewaysconsideredinthisassessmentareeitherconduitor12"x6"ventilated,opentoptray.Theseracewaysarecoveredwith1hourratedThermo-Lag.Eachracewayhasbeenmodelledinitsequivalentcircularform.Whenmodellingtray,thetrayitselfisnotconsideredasathermallayersinceitisventilatedwithanopentop.Thereforetheonlynon-circularthermallayermodelledintheCNPracewaysystemistheThermo-Lagthatencasestray.Thisthermallayeristreatedascircularbycalculatingitsequivalentcirculardiameter.AEP:NRC:0692DLAttachment1Page5of21 Therefore,a12"x6"thermallayerwouldbemodeledasacylinderofdiameterd=2x(h+w)/IIor11.46".Modellingwithsuchequivalentdiametersdoesnotchangetheactualsurfaceareasinthephysicalsystem.ThisapproachhasbeensupportedforCNPapplicationsbythecorrelationsnotedbetweenthethermalmodelandthe1983CantonTestLabdata,describedinsection2.3.2andAttachment2.Itshouldbenoted.that12"x6"ventilatedtrayistheonlytypeutilizedatCNPforpowercableapplications.Cablederatingstandardsassumemore"plate-like"tray(24"x4")construction.ReguestTheanalysisasprovidedinthesubmittaldatedMay12,1995,providednomeaningfulvalidationofitsanalysismethodforcalculatingcableampacitylimitsandcabletraylimitingheatrejectioncapacities.Thelicenseeshouldprovideforthedirectcomparisonofpredictedcableampacitylimitstothosemeasuredinexperimentsonthecorrespondingsysteminordertovalidateitscalculations.ResponseValidationofmodelInapplyingthethermalmodeltotestedracewaysrepresentativeofthoseconsideredinthisassessment,aw/ftvaluethatisbelowwhatiscalculatedtobetheactualw/ftofthetestedraceway.Thisisconsideredconservat'vesincethispredictedvalueestablishesthe"limit"forwhichotheridenticalracewaysmustbebelowtobeconsideredacceptable.Candidateracewayshavingatotalheatvaluelessthanthis"limit"ensuresthattheheatgeneratedislessthantheheatcorrespondingtoaknowntemperatureforactualloadingsthatislessthan90CAEP:NRC:0692DLAttachment1Page6of21

TheCNPthermalmodelalgorithm(Attachment3)hasbeenusedtomodelatrayandconduittestedin1983attheAEPCantonTestLab.HavingappliedthisthermalmodeltopreviouslytestedracewayshasvalidatedthatthemodelgeneratesconservativeresultsforCNPalications.TheconclusionthatthemodelgeneratesconservativeresultsisbasedontherationaledescribedinthepreviousparagraphappliedtothemodellingresultsprovidedinAttachment2.Specificallywhathasvaluesthatarebelowthecalculatedactualw/ftvaluesthatcorrespondtoknowntemperaturesforactualloadingsthata"elessthanthecablequalificationtemperatureof90oCXtisimportanttonotewheremodelled(predicted)ampacitiesandcorrespondingheatvaluesarelisted,thattheycorrespondtoaparticulartrayfillwidthofagivencablesizeusingonlyasinglelayeroffill.Therefore,caremustbetakenwhencomparingmodelledampacitieswiththosepublishedinnationalstandards.Further,theampacityandw/ftvaluesgeneratedbythecomputermodelshouldnotbeinterpretedasderatingvaluesendorsedbyCNPdesignstandards.Rathertheyarecalculatedvaluesthatwouldberequiredforagivenfillwidth,ofaparticularsizecable,togeneratethemaximumqualifiedcabletemperature(90'C).Suchvaluesareusedonlyforreviewandacceptancepurposes.ApplicationofmodelinthereviewofracewaysThemodelalgorithmisusedtopredictaheatgeneratedvalue(w/ft)thatcorrespondstoagivenconductortemperaturerise,foragivensetofcables,'.'.agivenraceway.Thisvaluecanbeusedasa"limit"forwhichotheridenticalracewayscanbecomparedtoforacceptance(i.e.-thoseidenticalcandidateracewaysmusthaveatotalheatvaluelessthanthislimittherebyensuringthattheheatgeneratedislessthantheheatcorrespondingtoaknowntemperature).Forthoseracewayconfigurationswherethereisonlyonesizecable(e.g.conduit),thepredictedw/ftmaybetakendirectlyfromtheprogramoutput.Thisw/ftvalueisthencomparedtotheactualtotalw/ftforthesubjectracewayforreviewandacceptancepurposes.AEP:NRC:0692DLAttachment1Page7of21 Forthoseracewayconfigurationswherethereismorethanonesizecable(e.g.tray),cheprogramistoberunforeachdifferentsizecablewiththenumberofcablesspecifiedas(actualfillwidth-:subjectcablediameter).Theprogramwillreturnamodelledampacity(perconductor)andacorrespondingmodelledw/ftvalue(forentiretray)basedonthetrayloadedexcl'usivelywiththesubjectcablesize.Thisprocessisrepeatedforeachdifferentsizecablecontainedwithinthetray.Thelowestmodelledw/ftvalueisconservativelyselectedasthelimitforwhichtheactualtotalw/ftwillbecomparedtoforreviewandacceptancepurposes.Selectingthelowestmodelledw/ftvalueisconsideredconservativeasitislessthanthesumthatcouldbecalculatedtoaccuratelyaccountforcablesofvaryingsize.Foreachracewayconsideredinthisampacityderatingassessment,thepredictedandactualw/ftvaluesarelistedarelistedinAttachmentS.Inspectionofthsevaluesforeachracewayshowsthattheactualheatgeneratedforeachracewayislessthan50';ofthepredictedheatgenerated.RequestThethermalmodelforthesubjectanalysisisbasedonheat"ransfercorrelationswhichwereoriginallypublishedinthe1929-1933timeframe.Thesecorrelationsarebadlydated,andtheimpactofusingmoremoderncorrelationsinthemodelshouldbeassessedbythelicensee.ResponseGiventhecorrelationbetweentheCNPthermalmodelandthe1983AEPCantonTestLabtestresults,asdiscussedinsection2.3.2,wedonotbelievethatusingmoremoderncorrelationswouldprovetobeeffective.AEP:NRC:0692DLAttachment1.Page8of21 RequestItisstatedbythesubmittalAEP:NRC:0692DF,inthedevelopmentofcorrelationforheattransferfromthecablestothesurroundingairgap,that"thethermalresistanceperconductorwillbethetotalnumberofconductorsdividedbythetotalthermalconductance"(seethefirstsentenceintheparagraphimmediatelyprecedingEquation20ofthelicenseeanalysis).Thelicenseeshouldfurtherexplainandclarifythebasis,intent,andimpactofthisstatement.ResponseThebasisforimplementingequation20listedinAEP:NRC:0692DF,isthatthisequationisperformedoncablesofidenticaldiameter.Thispreventsanomaliesfrombeingintroducedbyanalyzingmorethanonecablesizeatatime.Theintentofimplementingequation20,listedinAEP:NRC:0692DF,istoaccountforthecontributionoftheracewayairspaceintheoverallpartitioningoftotalthermalresistancetoindividualconductors.Thispermitsconductorampacityforagroupofcables,withagivenfillwidthandsize,tobecalculated.Thisampacityisthenusedtocalculatethepredictedheatgenerated(w/ft)fortheentiretray.RecpxestDirectlyrelatedtothecommentregardingtheheattransfercorrelationfromthecablestothesurroundingairgap,thecorrelationsfor"thethermalresistancethroughrelativelythincylinders(i.e.,cablejacket,tray,firebarrier)"(Equation16perthelicenseeAnalysis)andforthe"thermalresistancefromthelastsurfacetoambient"(Equation21perthelicenseeAnalysis)eachincludeafactor(n'describedas"thenumber.ofconductorswithinthesection."Thiswouldappeartobe,ineffect,athermalpartitioningfactorwhichisbasedonasimpleconductorcountand,assuch,maybeindirectconflictwiththestatedassumptionsofthemodeldescribedin"AppendixA"ofLicenseeAEP:NRC:0692DLAttachment1Page9of21 Attachmnt4(whereitisassumedthatsurfaceareawillbethebasisforthermalpartitioning).Thelicenseeshouldclarifythebasis,intent,andimplementationofthisfactor(n'asitisappliedtoeachofthesetwoequationsandhowthisfactorisappliedwhencablesofdifferentphysicaldimensionsarepresentinacommoncabletrays.ResponseThebasisforimplementingequations16and21,listedinAEP:NRC:0692DF,isthattheseequationsareperformedoncablesofidenticaldiameter.Thispreventsanomaliesfrombeingintroducedbyanalyzingmorethanonecablesizeatatime.Theintentofimplementingequations16and21,listedinAEP:NRC:0692DF,istoaccountforthecontributionofthematerialthermallayersintheoverallpartitioningoftotalthermalresistancetoindividualconductors.Thispermitsconductorampacityforagroupofcables,withagivenfillwidthandsize,tobecalculated.Thisampacityisthenusedtocalculatethepredictedheatgenerated(w/ft)fortheentiretray.RequestThesubjectanalysistreatsallcabletraysystemsusingamodelbasedoncirculargeometries.Thispracticeissaidtohavebeenvalidatedbasedonthe"excellentcorrelationbetweencomputerdataandtestdata."However,noevidenceofsuchvalidationhasbeenprovidedinthesubjectsubmittal.Thelicenseeisrequestedtoprovidethetechnicaljus"ificationwhichvalidatesitsassumptionsinthisregard.ResponseSection2.3.2andAttachment2providetestresultsandcalculationswhichvalidatethecorrelationbetweenthecomputerdata(thermalmodel)andthetestdata(1983AEPCantonTestLabdata).ThishasbeendemonstratedforatypicaltrayandconduitconfigurationatCNP.Thereforewebelievethatmodellingcabletraysystemsusingthecirculargeometryapproachdetailedinsection2.3,1isappropriateforCNPapplications.AEP:NRC:0692DLAttachment1Page10of21 RequestThecorrelationcitedforthethermalresistancebetweentheoutersurfaceofthebarrierandtheambientenvironment(LicenseeEquation21)appliesonlytopipes.Thesecorrelationsshouldnotbeappliedtoflatplatesurfacessuchasthosewhichwouldbeexperiencedaroundacabletray.ResponseGiventhegeometryofourtray,thesinglelayerfillpracticesandthecorrelationbetweenthethermalmodelandtestdata,theadequacyofmodelingour12"x6"trayinitsequivalentcircularformhasbeendemonstratedtobeappropriateforCNPapplications.Thishasbeendemonstratedinsection2.3.2andAttachment2,wherethepredictedheatgeneratedinacabletraywasfoundtobelessthantheactualcalculatedheatgenerated.RequestTheanalysismodelprovidesnotreatmentoftheeffectsofspacingontheradiativeheattransferbehaviorofthecables.Reducedviewfactorsduetocableproximitymightsignificantlyreducethepredictedratesofradiantheattransfer.Thelicenseeisrequestedtoaddresshowtheeffectsofspacingshouldbeaccountedforintheradiativeheattransfercorrelations.ResponseNocreditistakenforspacebetweencableswhenimplementingtheCNPthermalmodel.Ineachrunofthethermalmodel,thefillwidthisassumedtol.asolidmassofcables.Thatistosay,thatforatraywithatotalfillwidthof4.2"thatiscomprisedofcablesof0.2"O.D.,thetraywouldhave4.2"/0.2"or21cableswithnospacesbetweenthem.RequestThelicenseeisrequestedtoprovideinformationonthespecificinputsusedinanyexamplecaseaswellasanycomputercodewhichprocessthesubjectcalculations.AEP:NRC:0692DLAttachment1Page11of21 ResponseThecodeandinputsforexampleracewaysareincludedasAttachments3and2respectively.Thecomputerprogramrequiresthefollowingasinput:a.ambienttemperaturenumberofheattransferlayersequivalentoutsidediameteroflayerthicknessoflayerdeadairspaceoutsidelayeremissivityofsurfacethermalresistivityoflayernumberofcablestemperatureratingelectricalresistivityofconductorspecificinductivecapacitanceofinsulationpowerfactorofinsulationthickne'ssofjacketthermalresistanceofjacketnumberofconductorspercablecircularinchareaofconductorconductordiameterinsulationdiameterthermalresistivityofinsulationAC/DCratioemissivityofcablesurfacediameterofcablelinetolinevoltage(KV)inferredtemperatureofzeroresistanceafconductorTheampacitiesandw/ftvaluesgeneratedbythecomputer~modelshouldnotbeinterpretedasderatingvaluesendorsedbyCNPdesignstandards.Rathertheyarepredictedvaluesthatwouldberequiredforagivenfillwidth,ofaparticularsizecable,togeneratethemaximumqualifiedcabletemperature(90'C).AEP:NRC.0692DLAttachment1Page12of21 2.3.10RequestThelicenseehasapparentlyappliedoneorbothofitsthermalmodelstotheanalysisofcablesinconduitsaswellasthoseintrays.Theapplicabilityofbothlicenseeanalysismodelstoconduitsneedstobefurtherclarifiedbythelicensee.Specifically,thethermalmodelforcabletraysisbasedontheuniqueconfigurationof"maintainedspacing"foritspowercablesincabletrays.Thissamefactorcannotgenerallybeassumedtoexistforcablesincondui(:s.Thelicenseeshouldprovideanexplicitdiscussionoftheapplicabilityofitstwothermalmodels(the"AppendixA"surfaceareabasedheatloadpartitioningmodelandthe"Appendix8"directthermalanalysismodel)toconduits,andshoulddiscusshowthesemodelswereimplementedforconduitanalyses.ResponseThethermalmodelisbasedoncurrentcarryingconductorshousedincylindricalraceways.Asexplainedin2.3.7,cabletrayistreatedasacylindricalraceway,thereforethethermalmodelisdirectlyapplicabletobothcableshousedinconduitandcabletrays.ThedesignstandardforconduitatCNPissuchthatonlyonepowercablemayberuninanyconduit,thereforethematterofmaintainingseparationbetweencablesisnotaconcernwithrespecttoconduit.2.4Attachment5,RepresentativeCalculationResults2.4.1RequestAnominalcomparisonbetweenthelicenseeampacitypredictionsandthoseobtainedusingmoreconventionalapproachestotheampacityassessmentshowedthattheCNPestimatedampacitylimitswerenon-conservative.Inthecaseoftheconduits,thelicenseeestimatedampacitylimitsincludingderatingforthefirebarriersystemwhichwereinexcessofthetabulatedampacitylimitsforcablesinconduitswithoutafirebarrierassetforthintheNBCtables,evengiventhemostgenerousinterpretationoftheconduitloadings(onlyasinglecableperconduitwithnomorethanthreeconductors).Theseresultsindicatethatthesubjectthermalmodelmaybegeneratingunrealisticandnon-conservativeestimatesofactualcableampacitylimits.Thelicenseeisrequestedtoaddressthesediscrepancies.AEP:NRC:0692DLAttachment1Page13of21 ResponseAnominalcomparisonbetweenCNPmodelledampacities,FLAandthetabulatedampacitylimitsforcablesinconduitswithoutafirebarrier,assetforthintheIPCEA/NECtables,isprovidedinatableonpage10ofAttachmentS.AninspectionofthistableindicatesthattheCNPmodelledampacitiesandFLAare'lessthanthelimitvaluesinthetablesidentifiedintherequest.TheseZPCEAandNECampacitylimitswerechosenastheycorrespondtothetriplexand3TCnon-jacketedcablesusedatCNPforpowercableapplications.Asaresultofourmodelledampacitiesbeinglessthanthosedepictedinnationalstandards,wedonotbelievethatourmodelisgeneratingnon-conservativeestimates,thereforenodiscrepanciesarebelievedtoexist.Theampacitiesandw/ftvaluesgeneratedbythecomputermodelshouldnotbeinterpretedasvaluesendorsedbyCNPdesignstandards.Rathertheyarepredictedvaluesthatwouldberequiredforagivenfillwidth,ofaparticularsizecable,togeneratethemaximumqualifiedcabletemperature(90'C).RequestAsapartofthevalidationprocess,thelicenseeshouldprovideadirectcomparisonofitsownmodelingresultstotheresultsobtainedusingmoreconventionalampacityderatingapproaches.ResponseGiventhecorrelationbetweenourthermalmodelandthe1983testresults(discussedinsection2.3.2,withsupportingcalculationsprovidedinAttachment2),wedonotbelievethatusingmoreconventionalampacityderatingapproaches(forracewaysenclosedinathermalbarrier)wouldprovetobeuseful.Theampacitiesandw/ftvaluesgeneratedbythecomputermodelshouldnotbeinterpretedasderatingvaluesendorsedbyCNPdesignstandards'athertheyarepredictedvaluesthatwouldberequiredforagivenfillwidth,ofaparticularsizecable,togeneratethemaximumqualifiedcabletemperature(90'C).AEP:NRC:0692DLAttachment1Page14of21 2.4.3'equestInanyfuturesubmittal,thelicenseeshouldalsoprovideasufficientbaseofinformation(i.e.moredetaileddescriptionsofthephysicalcharacteristicsofeachsystem,andthecharacteristicsoftheinstalledfirebarriersystem)regardingspecificapplications.ResponseWeagreethatamoresufficientbaseofinformationshouldhavebeenpreviouslyprovided.Inthissubmittal,Attachment5providesbaseinformationonthephysicalcharacteristicsofeachracewaysystemconsideredinthisderatinganalysis.Thisinformationincludesnumberofcablespertray,sizeofcables,cablematerial,FLA,andratingoffirebarrier.2.4.4RequestTheexampleresultsforconduitspredictedtheexactsameampacitylimitsdownto'foursignificantfigures(25.85A)fora3/Cgl2AWGcableinbothal/2"conduit(cable8026R)anda1"conduit(cable8505Rforexample).Whiletheampacitytableswouldnotdistinguishbetweenthesetwocases,giventhedifferencesinthephysicalconfigurations,thethermalmodelcertainlyshouldprovidedifferentresults.Thislicenseeisrequestedtoidentifythesourceof,andresolve,thisdiscrepancy.ResponseThenoteddiscrepancywasattributedtothephysicalparametersusedtomodelthe1/2"conduit.ProvidedinAttachment5aretheampacitiesoftheA'.;.pendixRconduitsastheyarereflectedinthelatestrevisionoftheAppendixRconduitampacitycalculations.Asnotedintherequest,adifferencedoesexistbetweenthemodelledampacitiesfora3/CN12AWGcableinal/2"conduit(24.38amperes)anda1"conduit(26.01amperes).AEP:NRC:0692DLAttachment1Page15of21 RequestThefullloadamperes(FLA)fortheequipmentasshownappearslow.Motor2hp3hp15hp20hpVoltage460V460V460V460V2.63.816203.44.82127FLAFLAPerNECTable430-150Providethebasisforthefullloadcurrentprojections.ThenameplateFLAwhichisatratedvoltageandratedloadisacceptableprovidedtheloadsarenotoperatingatanoverloadconditionorataservicefactorgreaterthanoneandtheratedvoltageismaintainedattheloadterminals.Provideadiscussionabouttheimpactofoverloadconditions,theservicefactoroftheloadandthevoltageavailabilityattheloadterminalsgiventhestatedampacityderatingmargins.ResponseTheidentificationoftheampacities,asoutlinedinNECTable430-150,iscorrectforadistributionvoltageof480(nominal),howeverthedistributionvoltageatCNPis600(nominal).Listedbelowarethesamehorsepowervaluesandacomparisonoftheamperevaluesusedvs.NECTable430-150.Motor2hp3hp15hp20hpVoltage575V575V575V575VFLA2.63.81620FLAPerNECTable430-1502.73.91722ThesmalldifferencesbetweentheFLAusedandTable430-150oftheNECcanbeattributedtotheactualnameplateampacity.Wedonotdesignmotorinstallationstooperatethemotoreitherinanoverloadconditionorintotheservicefactor.Cablesaresizedto125%oftheirFLAtoaccountforanyshorttermoverloadorlowvoltagecondition.AEP:NRC:0692DLAttachment1Page16of21 II>>

RequestTheallowableampacityascalculatedforg12AWGinAppendixRtraysisextremelyhigh.ICEAStandardP-54-440,"AmpacityofCablesinOpen-TopCableTrays'llowsonly15A(maximum)for1.0"depthoffillandcablediameterof0.49".Thecableusedinthiscalculationhasadiameterof0.32".For0..32"diametercable,theallowedampacityperICEAStandardP-54-440willbe(0.32/0.49)x15=9.79amps.Thisampereswouldbereducedfurtherduetofirewrapmateri.'al(Thermo-Lag).ResponseTheproratingofampacities,usingtheICEAderatingtables,fordifferentfilldepthsaswellasdifferentcablediameterscannotbeappliedindirectproportionasidentifiedintherequest.Forexample,persection2.2ofICEA-54-440standard,thetotalnumberofgl2AWGinstalledcablesfora12"widetraywith1"fillwillbe:1x12n-dXdfora0.49"diametercablen=49cablesfora0.32"diametercablen=117cablesHowever,perAEPdesignguidelines,onlyonelayerofpowercablesareplacedinatrayuptoamaximum75%widthofthetray,thereforethemaximumnumberofcablesinstalledforthesamescenarioabovewouldbe:12dX1.33fora0.49"diametercablen=18cablesfora0.32"diametercablen=28cablesAsshown,CNPdesignguidelineslimittheloadingtolessthan28/117or24%fortheexamplepresentedintherequest,thereforetheproportionalconversionsuggestedisnotappropriate.AEP:NRC:0692DLAttachment1Page17of21 Forcomparisonpurposes,agraphicalrepresentationusingICEA-54-440table3.6,"CableAmpacityDataFora512AWGCable",isshowninAttachment6.TheplotisprojectedtoaccommodateCNPdesignfora1/2"trayfill.Theplotdepictstheprojectedampacityfor1/2"trayfilltobeapproximately20.5amperes.CNPdesignguidelinesappliedtothisconfigurationresultinamoreconservativeloadingastheyallowamaximumdesignampacityof15amperesforafullyloadedtray(75%ofitswidth).Thereforewebelievethatourdesignstandardsforatrayofthisconfigurationarenotextremelyhighasstated.Theampacitiesandw/ftvaluesgeneratedbythecomputermodelshouldnotbeinterpretedasderatingvaluesendorsedbyourdesignstandards.Rathertheyarepredictedvaluesthatwouldberequiredforagivenfillwidth,ofaparticularsizecable,togeneratethemaximumqualifiedcabletemperature(90'C).RequestProvideacomparisonofthecalculatedallowableampacityforAppendixRtraysversustheallowedampacitywithouttheThermo-LagaspublishedinICEAP-54-440for~oen-to~traconsideringcablediameteranddepthoffilladjustments.ThestaffbelievesthatthecalculatedampacityforwrappedtraysmustbelessthanthatobtainedfromICEAStandardP-54-440.ThelicenseeshouldprovideadequatejustificationforampacityvaluesexceedingICEAStandardP-54-440.ResponseForeachtray,Attachment5providesacomparisonofFLA,modelledampacityandtheallowedampacitywithouttheThermo-LagaspublishedinICEAP-54-440foropen-toptray(consideringcablediameteranddepthoffilladjustments).Thisattachmentalsoliststheampacityderat'ngmarginavailableofeachcablewithinthesetraysasthedifferencebetweenFLAandICEAampacitiesasapercentageoftheICEAampacity(~margin).Inallcases,theFLAandthemodelledampacitywerefoundtobelessthantheadjustedallowableICEAamoacities.AEP:NRC0692DLAttachment1Page18of21 Theampacitiesandw/ftvaluesgeneratedbythecomputermodelshouldnotbeinterpretedasderatingvaluesendorsedbyCNPdesignstandards.Rather.theyarepredictedvaluesthatwouldberequiredforagivenfillwidth,ofaparticularsizecable,togeneratethemaximumqualifiedcabletemperature(90'C).TheopentrayampacityvalueslistedinAttachment5wereadjustedusingequation9andfigure4fromtheStolpepaper(70-TP557-PWR).ThispaperisthebasisfortheICEAP-54-440ampacitytables.TheICEAampacitycalculationsweredevelopedusingaminimal10%fillvalue(thelowerlimitoftheplotcontainedinStolpepaper,figure4),withadjustmentsmadetoreflectactualtrayfillconditions.Theactualfillforalltraysexceptone(1AI-P2)islessthan10'-.,howevera10';ICEAfillvaluewasusedformostcasesasaconservativecomparison.AlltraysatCNPare12"widex,6"deepandareinstalledhorizontallyaswellasvertically.Eachtrayisindividuallywrappedwith1hourratedThermo-Lagexceptthreetrays(1AI-P1,1AI-P2and1AI-P4)whicharewrappedwithanadjacentcontroltray(sidebysideproximity)inacommonenclosure.Theseadjacentcontroltraysdonotcontributesignificantheatloads.Onthecontrary,theysignificantlyincreasesurfaceareaforheatdissipation(CNPpcwercabletraysareventilated).Thefollowingisapert=aydiscussiononhowtheICEAampacitylimitswereadjusted(ifadjustedatall)forcablediameteranddepthoffillTray¹1AI-P1Thecalculatedallowableampacitiesforallcal"esinthetrayarefoundtobelowerthanthecalculatedICEAallowedampacities.Theactualtrayfillisonly3.95';,whichprovidesadditionalmarginforICEAcalculatedampacities.Tray¹1AI-P2ThecalculatedallowableampacitiesforallcablesinthetrayarefoundtobelowerthanthecalculatedICEAallowedampacities.AEP.NRC:0692DLAttachment1Page19of21 Tray¹1AI-P4ThecalculatedallowableampacitiesforallcablesinthetrayarefoundtobelowerthanthecalculatedICEAallowedampacities.Thisparticulartraycarriesthree(3)cablesonly.Twocables,size3TC¹12CU,carryaconnectedloadof0.4ampereseachandthethirdcable,3TC¹6AL,isusedforaweldingreceptaclecircuitwithaswitchratingof60amperes.Connectedloadforthe¹6ALcableismuchsmallerandnon-continuoustype.Purther,theactualtrayfillisfoundtobeonly0.95%.Therefore,a4'-.fillcriterionisusedincalculatingtheICEAampacitiesfor3TC¹12CUcable.Tray¹2AZ-P3ThecalculatedallowableampacitiesforallcablesinthetrayarefoundtobelowerthantheICEAallowedampacities.TheICEAampacitiesarebasedon9%trayfill.Althoughmotoroperatedvalveloadisconsideredintheanalysis,thisloaddoesnotcontributetoanyheatloadwithrespecttothelong-timecabledegradingissueduetoshortstroketimeforvalveoperation.Tray¹1AZ-PSThecalculatedallowableampacitiesforallcablesinthetrayarefoundtobelowerthantheICEAallowedampacities.Theactualfillisfoundtobe2.62%,therefore,a4-.fillcriterionisusedincalculatingtheICEAampacitiesfor3TC¹12CUcable.Althoughmotoroperatedvalveloadisconsideredintheanalysis,thisloaddoesnotcontributetoanyheatloadwithrespecttothelong-timecablederatingissueduetoshortstroketimeforvalveoperation.Tray¹1AZ-P9Thecalculatedallowableampacitiesforallcables.'nthetrayarefoundtobelowerthantheICEAallowedampacities.Theactualfillisfoundtobe3.60%.Therefore,a4'-.fillcriterionisusedincalculatingtheICEAampacitiesfor3TC¹12CUcable.Tray¹1A-P20ThecalculatedallowableampacitiesforallcablesinthetrayarefoundtobelowerthantheICEAallowedampacities.TheICEAamprcitiesarebasedon9-.travfillexceptasnoted.AEP:NRC:0692DLAttachment1Page20of21 Tray¹2AZ-P10ThecalculatedallowableampacitiesforallcablesinthetrayarefoundtobelowerthantheICEAallowedampacities.Tray¹2A-P2Thecalculatedallowableampacitiesforallcablesinthetrayarefoundtobelower"thantheICEAallowedampacities.Theactualfillisfoundtobe2.48%.Therefore,a4%fillcriterionisusedincalculatingtheICEAallowedampacitiesfor3TC¹12CU'cable.RequestProvideacomparisonofcalculatedallowedampacityinAppendixRconduitversusallowedampacityinconduitaspublishedinICEAStandardP-46-426(includingfactorsforthenumberofconductors,groupingfactorsforcablesinexposedorenclosedconduitinair,etc.).Providesufficientdetails(cabletype,cablediameter,numberofconductors,conduitsize,percentfill,temperature,etc.)toassessampacityratingfortheexamplecases.ThestaffbelievesthatthecalculatedampacityforwrappedconduitsmustbelessthanthatobtainedfromICEAStandardP-46-426.ThelicenseeshouldprovideadequatejustificationforampacityvaluesexceedingICEAStandardP-46-426.ResponseAnominalcomparisonbetweenFLA,modelledampacitiesandampacitylimitsforcablesinconduits,assetforthinIPCEAP-46-426andtheNECtables,istabulatedinAttachment5.Thistableincludescabletype,cablediame"er,numberofconductorsandconduitsize.AninspectionofthistableindicatesthattheFLAandmodelledampacitiesarebelowthelimitvaluesprovidedinIPCEAP-46-426andtheNEC.TheseIPCEAandNECampacitylimitswerechosenastheycorrespondtothetriplexand3TCnon-jacketedcablesusedatCNPforpowercableapplications.Theampacitiesandw/ftvaluesgeneratedbythecomputermodelshouldnotbeinterpretedasvaluesendorsedbyCNPdesignstandards.Rathertheyarepredictedvaluesthatwouldberequiredforagivenfillwidth,ofaparticularsizecable,togeneratethemaximumqualifiedcabletemperature(90'C).2AEP:NRC:0692DLAttachment1Page21of21 ATTACHMENT2TOAEP:NRC:0692DLTABLEDEPICTINGCORRELATIONBETWEENTHEPREDICTEDANDMEASUREDAMPACITIES

~atettt;<tint<t<tan<mrttt<eeerifiraltnant'heNPThermalMoriialiedotraTest(FillWidth)(4.12")Cable'I'ype(l)launctcr)3TC¹12CU(0.32")3TC¹12CU(0.32")3TC¹2AL(0.92")TestLoading(A)3.820.060.0No.of,Runs(ContributingWidth)7(2.24")3(0.96")1(0.92")HighestMeasuredTemperature('C)45.659.755.7PredictedAmpacity(A)6.9613.4149.58PredictedWatts/Ft(w/ft)13.019.87~Predictedvaluesarebasedonthchighestmcasurcdtcmpcraturcastheconductortemperature.Predictedvaluesarealsobasedonthcfillwidthbeingcomprisedtotallyoftherespectivecabletype.Calculatedheatgeneratedpcrconductorbyrcsistivcheating=¹ofconductorsxIxR~,whereI=conncctcdload(A)R~=ACrcsistancc(0/ft)AppliedtothcmodellingofTest1usingthcprcdictcdampacitics,themodelledheatgeneratedis:3TC¹12CU=21x6.96"x'~77.SE-5=1.81AV/ft3TC¹12CU=9x13.41x184.27E-5=2.98W/ft3TC¹2AL3x49.58"x29.84E-5=2.2iV/ftTotalmodelledheatgcncratcd=6.99KV/ftAppliedtothcactualloadinginTest1above,thctotalactualheatgeneratedis:3TC¹12CU=21x3.8"x177.8E-5=0.5391W/ft3TC¹12CU=9x202x184.27E-5=6.634W/ft3TC¹2AL=3x60x29.84E-5=3.223W/ft.Totalactualheatgcncratcd=10.4W/ftResistanceshavebeenadjustedtocorrcspondtotheirrcspcctivemeasuredtemperaturesUstedaboveAcomparisonofthcpredictedheatgcncratctl(6.99W/ft)andthcactualheatgenerated(10.4W/ft)forthegiventestcaseabovedcmonstratcsthatthcCNPthermalmodellingapproachisconservative.Thisisconsidcrcdconservativesincethiscstablishcsthc"limit."I'orwhichotheridenticalracewayscanbecomparedtoforacccptancc(i.c.-thoseidenticalcandidateracewaysmusthaveatotalheatvaluelessthanthislimitthcrcbyensuringthatthcheatgcncratcdislessthanthcheatcorrespondingtoaknowntcmpcraturc).AEP:NRC:0692DLAttachment2Page1of4

'ThepredictedvalueslistedinTest1havebccngcncratcdfromthecomputermodelusingthefollowinginput:INPUTS3TC¹12CU3TC¹12CU3TC¹2AL¹ofcables*¹ofthermallayerso.d.oflayerI(inches)thicknessoflayerI(inches)deadalfspaceoutsidela)'clIcmmisivityoflayerIthermalresistivityoflayerI('Ccm/lV)conductortcmpcrature('C)ambienttcmpcraturc('C)electricalresistivityofconductor(circmil0/ftQn20'C)inferredtcmpcraturcot'zerorcsistanccol'ond.('C)linctolincvoltage(1<V)specificinductivecapacitanceol'nsulationpowerfactorofinsulationthicknessofjacket(inches)thermalresistanceol'acket('Ccm/lV)¹ofconductorspcrcablecircularinchareaofcontluctorconductordiamctcr(inches)insulationdiameter(inches)'thermalresistivityol'nsulation('Ccm/lV)AC/DCratioemmisivityofcablesurfacediamctcrofcable(inches)12.87513.340.50.9578.0345.64010.371234.50.62.30.0350.006530.0920.14884500.3212.87513.340.50.9578.0359.7103710.62.30.0350.006530.0920.14884500.320.50.9578.0355.717.002228.10.62.30.0350.066360.2920.42794500.92~¹ofcables=lillwidth+cablediamctcrAEP:NRC:0692DLAttachment2Page2of4 ThepredictedvalueslistedinTest5havebccngcncratcdfromthccomputermodelusingthefollowingI~~tI~II~input:INPUTS3TC¹2AL¹ofcables¹ofthermallayerso.d.oflayerI(inches)thicknessoflayerI(inches)deadairspaceoutsidelayerIcmmisivityoflayerIthermalresistivityofiayctI('Ccm/lV)conductortempcraturc('ambienttcmpcraturc('C,'lcctricalresistivityofcomluctor(circmil0/ftQn20'C)inferredtcmpcraturcofzerorcsistanccol'ond.('C)linctolincvoltage(KV)specificinductivecapacitanceofinsulationpowerfactorofinsulationthicknessofjacket(inches)thermalresistanceofjacket{'Ccm/~V)¹ofconductorspcrcablecircularinchareaofconductorconductordiamctcr(inches)insulationdiamctcr(inches)thermalresistivityofinsulation('Ccm/lV)AC/DCratiocmmisivityofcablesurfacediameterofcable(inches)4.5/60.237/0.50.25/10.055/0.92.2/578.03654017.002228.12.30.0350.024500.066360.2920.5304501.14AEP:NRC:0692DLAttachment2Page4of4 4~t ATTACHMENT3TOAEP:NRC:0692DLMODELCOMPUTERCODE

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AEP:NRC:0692DLAttachment3Page1of51~0REM'**4'************************~************************jq20REM******DXSPLAYPROGRAMDESCRXPTIONANDPROMPTUSER***30REM***+**FORINPUTS.***40REM*4'*4**************************************************CLSINPUTQ9$80IFQ9$=<<Y<<THEN58090PRXNT<<FXREBARRIERAMPACITYDERATING-IX(FBAD2)<<100PRXNT<<DOYOUNEEDHELPS(YORN)<<110INPUTQ18120XFQ1$=<<Y<<THEN140130GOTO620140PRXNT150PRINT"THISPROGRAMISDESIGNEDTOCALCULATETHEAMPACXTYOF"160PRXNT<<CABLESINRACEWAYENCLOSEDINFXREBARRXERMATERIAL170PRXNT"THEMODELUSEDTODEVELOPTHISPROGRAMAPPROXIMATES"180PRXNT"THETHERMALCHARACTERXSTICSOFVARXOUSRACEWAYAND<<190PRXNT"FIREBARRXERCONFIGURATIONSBYUSXNGTHEEQUATXONSOF<<200PRINT"HEATFLOWTHROUGHCYLINDRICALSURFACESDEVELOPED"210PRXNT"BYNEHERANDMCGRATHINTHEXR1957AXEEPAPER."220PRXNT230PRXNT<<SXNCEHEATTRANSFERISLARGELYDEPENDENTONTHESURFACE240PRXNTAREAOFTHETRANSFERMEDIUMSTHEEQUXVALENTDIAMETER250PRXNT"OFNON-CIRCULARRACEWAY(X.E.,TRAYANDFIREBARRXER<<260PRINT"SYSTEMSSHOULDBEDETERMINEDBYUSXNGTHEPERIMETER270PRINT"NOTTHEX-SECTIONALAREAOFTHEENCLOSINGMATERIAL."280PRXNT"INOTHERWORDSTHEEQUIVALENTDIAMETEROFA12INCHBY290PRINT"6XNCHTRAYSHOULDBE2x(H+W)/3.14OR11.46XNCHES.<<300PRINTRINT"PLEASENOTETHATTHISPROGRAMISVALIDONLYIFTRAYFILL"RXNT"DOESNOTVXOLATETHEAEP'SCRXTERXAFORPOWERTRAY(X.E.-<<33PRINT<<754OFTRAYWIDTHAND1LAYERDEEP)."340PRINT350PRXNT"WHENENTERINGN,THENUMBEROFHEATTRANSFERLAYERS360PRINT"DONOTXNCLUDETHECABLEINSULATXONORJACKETASA370PRXNT"LAYER.THXSWILLBEDONEBYTHEPROGRAM."380PRINT390PRINT<<DOYOUNEEDHELPENTERXNGTHEDATA+(YORN)<<400INPUTQ29410IFQ2$<<Y<<THEN430420GOTO620430PRINT440PRINT450PRXNT"DATASHALLBEINDICATEDASBELOW<<460PRXNT470PRINT<<DOYOUWANTAPRINTOUTOFDEFXNXTXONS.(YORN)<<480INPUTQ4$490XFQ4$=<<Y<<THEN510500GOTO530510N=1520GOTO1890530PRINT540PRINT<<DOYOUWANTTOENTERDATA'YORN)<<550INPUTQ5$5Q5$=<<Y<<THEN18805TO62058FQ9$<><<Y<<THEN620590PRXNT"OUTPUT?"600XNPUTQ3$

'610GOTO6406'20PRINT"DOYOUWANTALONGFORMOFTHEOUTPUT?(YORN)"630INPUTQ3$640PRXNTPRINTi>ENTERTHETYPEOFCABLETOBERUNINPUTB$PRXNT680PRINTXNPUTY9ANDZ9~THELXMXTSOFCABLES690INPUTY9700XNPUTZ971PREMA****************************************************A*720REM*********READSDATAXN*******************************73PREM*******************************************************740DXMD9(5),T(5)gS(5)gE9(5)pP9(5)gCP(5)gM(5)gA9(5)gZ8(5)gY8(5)gQ99(5)gI9(20)760READN770FORX=1TON780READD9(I)gT(I)gS(I)gE9(I)gP9(I)790Cl=C1+2800XFS(X)>0THEN820810Cl=cl-1820NEXTI830READTlgT2gP~TpgV/ElFl840READT5,P5850READNl~CgDOgDlgPlgAgE5JD5860XFQ9$iiYiiTHEN880870IFQ3$="Y"THEN1890880Cl=C1+3890IFT5>0THEN910900Cl=cl-1T3=(Tl-T2)/ClCl=p9REM***********DCRESXSTANCE940R=l.02*P/C*(TO+Tl)/(TO+20)950REM***********DIELECTRICLOSS960XZZ=LOG(D1/DO)/LOG(10)970W=.00276*(V/1.73205)"2*El*F1/XZZ980IJK=O990FORJ=Y9TOZ91000XFIJK=1THEN17501010Q=l1020REM***********NUMBEROFCONDUCTORS1030N3=J*N11040REM***********THERMALRESISTANCEOFINSULATXON1050R1=.012*Pl*LOG(Dl/DO)/LOG(10)1060C2=11070IFT5=0THEN11101080REM************************THERMALRESISTANCEOFJACKET1090C5=.0104*P5*N1*T5/(D5-T5)1100C2=C2+11110C5=01120REM************************FILLWIDTH1130D5=D5*J1140REM**************************AXRSPACE1150S5=D9(1)-T(1)-D51M5=T1-(C2*T3+T3/2)1C2=C2+21REM**************************THERMALRESXSTANCEOFAIRSPACE1190A5=N3/(.092*D5".75*T3".25/(1.39+D5/(D5+S5))+.0213/(LOG((D5+55)/D5)/LOG(10))+.102*D5*E5*(1+.0167*M5))Attachment3Page2of5 f20012101220123001270128012901300131013201330134013501360(I)+S137013801390140014101420A143014401450R1460N1470R14D015101520153.015401550156015701580159016001610162016301640165016601670168016901700171017201730111717701780CLSPRINTPRXNTPRINTPRINTPRINTPRXNT"NUMBEROFCABLES="J"NUMBEROFCONDUCTORS=",N3ALLOWABLEAMPACITY="Xl"WATTSPERFOOTOFRACEWAY="WlAEP:NRC:0692DL

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